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math.AG2025
Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties
Viktoriia Borovik, Hannah Friedman, Serkan Hoşten +1
We study energy minimization problems in quantum chemistry through the lens of computational algebraic geometry. We focus on minimizing the Rayleigh quotient of a Hamiltonian over…
math.AC2025
An Early History of Toric Ideals
Serkan Hoşten
Toric ideals are everywhere. They have been in the commutative algebra lexicon since about 1990 when Bernd Sturmfels used the term. The early days of toric ideals and their Gröbner…